English

The prime and primitive spectra of multiparameter quantum symplectic and euclidean spaces

Quantum Algebra 2007-05-23 v1 Rings and Algebras

Abstract

We investigate a class of algebras that provides multiparameter versions of both quantum symplectic space and quantum Euclidean 2n2n-space. These algebras encompass the graded quantized Weyl algebras, the quantized Heisenberg space, and a class of algebras introduced by Oh. We describe the structure of the prime and primitive ideals of these algebras. Other structural results include normal separation and catenarity.

Keywords

Cite

@article{arxiv.math/0111190,
  title  = {The prime and primitive spectra of multiparameter quantum symplectic and euclidean spaces},
  author = {K. L. Horton},
  journal= {arXiv preprint arXiv:math/0111190},
  year   = {2007}
}

Comments

24 pages